Mass transfer between a single prolate spheroid buried in a porous media and exposed to fluid flow has been theoretically studied, for convection with molecular diffusion. A general solution of this problem is not available analytically and two particular cases were considered for the purpose of the present work. The analytical steady-state solutions for the limiting cases of mass transfer with a thin concentration boundary layer (high values of Peclet number) and the pure diffusion regime (diffusion in a stagnant fluid) were obtained. The solution is expected to describe the problem of mass transfer between a large soluble prolate spheroid and the fluid flowing around it in the interstices of a packed bed, with an error of less than 10 %.